What is the Least Common Multiple of 86660 and 86677?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86660 and 86677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86660 and 86677, than apply into the LCM equation.

GCF(86660,86677) = 1
LCM(86660,86677) = ( 86660 × 86677) / 1
LCM(86660,86677) = 7511428820 / 1
LCM(86660,86677) = 7511428820

Least Common Multiple (LCM) of 86660 and 86677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86660 and 86677. First we will calculate the prime factors of 86660 and 86677.

Prime Factorization of 86660

Prime Factorization of 86677

Now multiplying the highest exponent prime factors to calculate the LCM of 86660 and 86677.

LCM(86660,86677) = 2² × 5¹ × 7¹ × 619¹ × 86677¹
LCM(86660,86677) = 7511428820